Pith Number

pith:QVJCU5PU

pith:2016:QVJCU5PUILUFY3BJ56QTLWWKFS

not attested not anchored not stored refs pending

The Salesman's Improved Paths: 3/2+1/34 Integrality Gap and Approximation Ratio

Andr\'as Seb\H{o}, Anke van Zuylen

arxiv:1604.02486 v2 · 2016-04-08 · cs.DM · cs.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVJCU5PUILUFY3BJ56QTLWWKFS}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:07:12.608955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85522a75f442e85c6c29efa135daca2cb3537bf8f1ed50c6d4b44c6e3edd60d8

Aliases

arxiv: 1604.02486 · arxiv_version: 1604.02486v2 · doi: 10.48550/arxiv.1604.02486 · pith_short_12: QVJCU5PUILUF · pith_short_16: QVJCU5PUILUFY3BJ · pith_short_8: QVJCU5PU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QVJCU5PUILUFY3BJ56QTLWWKFS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 85522a75f442e85c6c29efa135daca2cb3537bf8f1ed50c6d4b44c6e3edd60d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86c62f88f3f865c15acaab5030fb1d87d22b862677a37f827022a17e9313ee8",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-08T21:05:05Z",
    "title_canon_sha256": "93589c128f2ab8c62ffbbaa8f3d5b2d83a55725bb7fa4f0ea93de545c55cb75b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02486",
    "kind": "arxiv",
    "version": 2
  }
}